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Let a(n) denote the number of all n-digi...

Let `a_(n)` denote the number of all n-digit numbers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let `b_(n)` be the number of such n-digit integers ending with digit 1 and let `c_(n)` be the number of such n-digit integers ending with digit 0. Which of the following is correct ?

A

`a_17 =a_16 +a_15`

B

`c_17 ne c_16+c_15`

C

`b_17 ne b_16 +c_16`

D

`a_17=c_17+b_16`.

Text Solution

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The correct Answer is:
A
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